Basic HTML version of Foils prepared March 15 00

Foil 2 Abstract of Simple Partial Differential Equations and Iterative Solvers

From Collection of Extra Foils for CPS615 PDE Iterative Solution Discussion CPS615 Spring Semester 00 -- March 00. by Geoffrey C. Fox
1 This Introduces the three fundamental types of PDE's -- Elliptic, Parabolic and Hyperbolic and studies the numerical solution of Elliptic Equations
2 The sparse matrix formulation is used and iterative approaches -- Jacobi, Gauss Seidel and SOR are defined
3 These are motivated by analogies between equilibrium of diffusive equations and elliptic systems
4 Parallel Computing is Discussed for Gauss Seidel
5 Eigenvalue analysis is used to discuss convergence of methods
6 We discuss Multigrid methods at a simple level
in Table To:

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